Any thoughts on this mortgage situation? A friend of mine and her boyfriend have been looking for a house?

They wanted to go through 100% mortgage financing, but it seems like this program is almost obsolete. They've been dealing with 4 mortgage companies and none of them were successful. Finally, one company came through for them and offered the first time homebuyers program. However, in order to qualify for this program, they have to close prior to the due date of March 21st; they have to make less than certain amount; and one of them has to be a minority, which my friend is. They made an offer and was accepted, but they found out that both my friend and her boyfriend make too much money. For them to be able to stay with this program, her boyfriend has to be qualified and she will not be in the loan. However, she can be in the title and when they refinance in 3 years or so, then, she can be in the loan. They both wanted to be in the loan, but now only he can qualify. Do you think they should pursue this move?